The number 38167
38167 is the 4028th prime number. Its only divisors are 1 and 38167.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 38167: the 4028th prime number.
- 2
38167 is prime, so its only factors are 1 and 38167. It is the 4028th prime; the next prime is 38177 and the one before is 38153.
- 3
The divisors add up to 38168; without 38167 itself that is 1, so 38167 is deficient (1 is less than 38167). Euler's totient φ(38167) = 38166 numbers up to 38167 share no factor with it.
- 4
The digits of 38167 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 80 steps to reach 1.
38167 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 38168 |
| Euler totient φ(n) | 38166 |
| Square | 1456719889 |
| Cube | 55598628003463 |
| Square root | 195.363763 |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 80 |
| Scientific notation | 3.8167 × |
38167 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand one hundred and sixty-seven |
| Binary (base 2) | 1001010100010111 |
| Octal (base 8) | 112427 |
| Hexadecimal (base 16) | 9517 |
| Base 3 | 1221100121 |
| As time | 38167 seconds = 10 h 36 min 7 s |
Is 38167 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7. |
| 8 | No (remainder 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 38167 a prime number?
Yes. 38167 is divisible only by 1 and itself.
What are the factors of 38167?
1, 38167.
What is 38167 in binary?
1001010100010111 (hexadecimal 9517, octal 112427).
What is the square root of 38167?
About 195.3638.
Is 38167 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 38167?
38167 is the 4028th prime number.